What is the Greatest Common Factor of 26048 and 26059?

Greatest common factor (GCF) of 26048 and 26059 is 11.

GCF(26048,26059) = 11

We will now calculate the prime factors of 26048 and 26059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26048 and 26059.

How to find the GCF of 26048 and 26059?

We will first find the prime factorization of 26048 and 26059. After we will calculate the factors of 26048 and 26059 and find the biggest common factor number .

Step-1: Prime Factorization of 26048

Prime factors of 26048 are 2, 11, 37. Prime factorization of 26048 in exponential form is:

26048 = 2⁶ × 11¹ × 37¹

Step-2: Prime Factorization of 26059

Prime factors of 26059 are 11, 23, 103. Prime factorization of 26059 in exponential form is:

26059 = 11¹ × 23¹ × 103¹

Step-3: Factors of 26048

List of positive integer factors of 26048 that divides 26048 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 37, 44, 64, 74, 88, 148, 176, 296, 352, 407, 592, 704, 814, 1184, 1628, 2368, 3256, 6512, 13024

Step-4: Factors of 26059

List of positive integer factors of 26059 that divides 26048 without a remainder.

1, 11, 23, 103, 253, 1133, 2369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26048 and 26059. The biggest common factor number is the GCF number.
So the greatest common factor 26048 and 26059 is 11.

Also check out the Least Common Multiple of 26048 and 26059